Content area
Abstract
We extend various types of interpolation sets for Borel measures on T, e.g. Sidon sets and $\Lambda(p)$-sets, to Frechet measures on products of T. The Grothendieck Inequality and Grothendieck Factorization Theorem prove to be invaluable tools in the analysis of harmonic-analytic properties of bounded bilinear forms on $C({\bf T}) \times C({\bf T}).$ The push to dimensions higher than two uncovers interesting difficulties and obstacles which correspond in some sense to those encountered when one attempts to extend the Grothendieck Inequality and Factorization Theorem to dimensions higher than two.
Details
Title
Sets of interpolation for Fourier transforms of Frechet measures
Author
Caggiano, James Patrick
Year
1998
ISBN
978-0-599-04426-5
Source type
Dissertation or Thesis
Language of publication
English
ProQuest document ID
304446759
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
